Newton-type methods for inverse singular value problems with multiple singular values
Newton-type methods for inverse singular value problems with multiple singular values
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DOI：
10.1016/j.apnum.2016.06.008
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发表时间：
2016-11
影响因子：
2.8
通讯作者：
W. Shen;Chong Li;X. Jin;J. Yao
中科院分区：
文献类型：
--
作者：
W. Shen;Chong Li;X. Jin;J. Yao
我们考虑一些牛顿型方法的收敛问题，用于解决具有多个和正奇异值的逆奇异值问题。在解 c⁎ 处的相对广义雅可比矩阵的非奇性假设下，提供了多重和正情况的收敛分析，并证明了超线性或二次收敛性质。此外，最后一节给出了数值实验并进行了比较。
We consider the convergence problem of some Newton-type methods for solving the inverse singular value problem with multiple and positive singular values. Under the nonsingularity assumption of the relative generalized Jacobian matrices at the solution c⁎, a convergence analysis for the multiple and positive case is provided and the superlinear or quadratical convergence properties are proved. Moreover, numerical experiments are given in the last section and comparisons are made.